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Finding the Fourth Proportional to 7,783.49, 10,742.13 and 4,426.81

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Solution

The fourth proportional to 7,783.49, 10,742.13 and 4,426.81 is: 6,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.49 : 10,742.13 = 4,426.81 : x
  2. Step 2: Convert to fraction form
    7,783.49/10,742.13 = 4,426.81/x
  3. Step 3: Cross multiply
    7,783.49x = 10,742.13 × 4,426.81
  4. Step 4: Simplify right side
    7,783.49x = 47,553,341.65
  5. Step 5: Solve for x
    x = 47,553,341.65/7,783.49
  6. Step 6: Final answer
    x = 6,109.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.